Navigating the Design Space of Equivariant Diffusion-Based Generative Models for De Novo 3D Molecule Generation
On the map: Diffusion models → Flow matching, time series and science
Abstract (arXiv)
Deep generative diffusion models are a promising avenue for 3D de novo molecular design in materials science and drug discovery. However, their utility is still limited by suboptimal performance on large molecular structures and limited training data. To address this gap, we explore the design space of E(3)-equivariant diffusion models, focusing on previously unexplored areas. Our extensive comparative analysis evaluates the interplay between continuous and discrete state spaces. From this investigation, we present the EQGAT-diff model, which consistently outperforms established models for the QM9 and GEOM-Drugs datasets. Significantly, EQGAT-diff takes continuous atom positions, while chemical elements and bond types are categorical and uses time-dependent loss weighting, substantially increasing training convergence, the quality of generated samples, and inference time. We also showcase that including chemically motivated additional features like hybridization states in the diffusion process enhances the validity of generated molecules. To further strengthen the applicability of diffusion models to limited training data, we investigate the transferability of EQGAT-diff trained on the large PubChem3D dataset with implicit hydrogen atoms to target different data distributions. Fine-tuning EQGAT-diff for just a few iterations shows an efficient distribution shift, further improving performance throughout data sets. Finally, we test our model on the Crossdocked data set for structure-based de novo ligand generation, underlining the importance of our findings showing state-of-the-art performance on Vina docking scores.
Key facts. Cited by 50 papers in the map (data through 7 Oct 2026). Placed in Flow matching, time series and science, one of 14 directions in Diffusion models. Builds on 44 of its 62 references that are in the map. First posted on arXiv 29 Sep 2023.
Builds on
44 of 62 references.
Closest ancestors · 5
Same direction, newest first
- 2023MiDi: Mixed Graph and 3D Denoising Diffusion for Molecule Generation17 Feb
- 2022Structure-based Drug Design with Equivariant Diffusion Models24 Oct
- 2022Equivariant 3D-Conditional Diffusion Models for Molecular Linker Design11 Oct
- 2022Equivariant Diffusion for Molecule Generation in 3D31 Mar
- 2022GeoDiff: a Geometric Diffusion Model for Molecular Conformation Generation6 Mar
Other references · 39
- 2020Denoising Diffusion Probabilistic Modelscited by 20,851
- 2021High-Resolution Image Synthesis with Latent Diffusion Modelscited by 18,694
- 2020Denoising Diffusion Implicit Modelscited by 9,655
- 2020Score-Based Generative Modeling through Stochastic Differential Equationscited by 8,964
- 2021Diffusion Models Beat GANs on Image Synthesiscited by 8,185
- 2015Deep Unsupervised Learning using Nonequilibrium Thermodynamicscited by 7,005
- 2019Generative Modeling by Estimating Gradients of the Data Distributioncited by 4,067
- 2021Improved Denoising Diffusion Probabilistic Modelscited by 3,736
- 2022Elucidating the Design Space of Diffusion-Based Generative Modelscited by 2,994
- 2019Fast Graph Representation Learning with PyTorch Geometriccited by 2,414
- 2021Structured Denoising Diffusion Models in Discrete State-Spacescited by 1,665
- 2020DiffWave: A Versatile Diffusion Model for Audio Synthesiscited by 1,339
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- 2020Learning from Protein Structure with Geometric Vector Perceptronscited by 308
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- 2020Equivariant Flows: Exact Likelihood Generative Learning for Symmetric Densitiescited by 248
- 2020GEOM: Energy-annotated molecular conformations for property prediction and molecular generationcited by 238
- 2022Riemannian Score-Based Generative Modellingcited by 216
- 2022Pocket2Mol: Efficient Molecular Sampling Based on 3D Protein Pocketscited by 182
- 2022TorchMD-NET: Equivariant Transformers for Neural Network based Molecular Potentialscited by 179
- 20233D Equivariant Diffusion for Target-Aware Molecule Generation and Affinity Predictioncited by 176
- 2019Symmetry-adapted generation of 3d point sets for the targeted discovery of moleculescited by 171
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- 2022A 3D Generative Model for Structure-Based Drug Designcited by 148
- 2022EquiBind: Geometric Deep Learning for Drug Binding Structure Predictioncited by 143
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- 2021Inverse design of 3d molecular structures with conditional generative neural networkscited by 93
- 2019Molecular geometry prediction using a deep generative graph neural networkcited by 91
- 2019A Generative Model for Molecular Distance Geometrycited by 73
- 2023MolDiff: Addressing the Atom-Bond Inconsistency Problem in 3D Molecule Diffusion Generationcited by 65
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Citing papers per year: 2024: 10; 2025: 24; 2026: 16.
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- 2024Geometric Representation Condition Improves Equivariant Molecule Generation4 Oct 2024
- 2024What Ails Generative Structure-based Drug Design: Expressivity is Too Little or Too Much?12 Aug 2024
- 2024General Binding Affinity Guidance for Diffusion Models in Structure-Based Drug Design24 Jun 2024
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- 2024Cometh: A continuous-time discrete-state graph diffusion modelcited by 29
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- 2025Straight-Line Diffusion Model for Efficient 3D Molecular Generationcited by 8
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- 2026QALPA: Property-guided diffusion modeling for efficient exploration of chemical spaces of flexible molecules15 Sep 2026
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- 2026SinAE: A Single-Architecture Flow-Matching Autoencoder for Cross-Domain Atomic Systems14 Jul 2026
- 2026SynLaD: Latent Diffusion for Generating Synthesizable Molecules Conditioned on 3D Pharmacophore Profiles1 Jul 2026
- 2026Smoothing Dark Areas in Molecular Latent Diffusion11 Jun 2026
- 2026Riemannian Diffusion Models on General Manifolds via Physics-Informed Neural Networks29 May 2026
- 2026Permutation-Symmetrized Diffusion for Unconditional Molecular Generation24 Mar 2026
- 2026Rethinking Diffusion Models with Symmetries through Canonicalization with Applications to Molecular Graph Generation16 Feb 2026
- 2025MolGuidance: Advanced Guidance Strategies for Conditional Molecular Generation with Flow Matching13 Dec 2025
- 2025FlexiFlow: decomposable flow matching for generation of flexible molecular ensemble21 Nov 2025
- 2025VEDA: 3D Molecular Generation via Variance-Exploding Diffusion with Annealing11 Nov 2025
- 2025Predictive Feature Caching for Training-free Acceleration of Molecular Geometry Generation6 Oct 2025
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- 2024Geometric Representation Condition Improves Equivariant Molecule Generationcited by 13
- 2025Applications of Modular Co-Design for De Novo 3D Molecule Generationcited by 13
- 2025TABASCO: A Fast, Simplified Model for Molecular Generation with Improved Physical Qualitycited by 11
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- 2025SynCoGen: Synthesizable 3D Molecule Generation via Joint Reaction and Coordinate Modelingcited by 5
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- 2026AtomComposer: Discovering Chemical Space from First Principles with Reinforcement Learning27 May 2026
- 2026Toward Better Geometric Representations for Molecule Generative Models8 May 2026
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- 2026Zatom-1: Towards a Multimodal Foundation Model for 3D Molecules and Materials24 Feb 2026
- 2026MacroGuide: Topological Guidance for Macrocycle Generation16 Feb 2026
- 2025OMTRA: A Multi-Task Generative Model for Structure-Based Drug Design4 Dec 2025
- 2025FLOWR.root: A flow matching based foundation model for joint multi-purpose structure-aware 3D ligand generation and affinity prediction2 Oct 2025
- 2025SynCoGen: Synthesizable 3D Molecule Generation via Joint Reaction and Coordinate Modeling16 Jul 2025
- 2025TABASCO: A Fast, Simplified Model for Molecular Generation with Improved Physical Quality1 Jul 2025
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